Definition of self-similar in English:

self-similar

adjective

Mathematics

(of an object or set of objects) similar to itself at a different time, or to a copy of itself on a different scale.
〔数〕（物体，一组物体）自型的
the result has the property of being self-similar, a magnified portion looks like the whole
Example sentencesExamples
- He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals.
- We would like to understand the projections of self-similar sets in the plane.
- Since the creature does not change shape, rather simply grows larger, the most efficient way to do this is for its shell to grow in the self-similar form of a logarithmic spiral.
- Indeed, nature features many irregular shapes that are self-similar - that repeat themselves on different scales within the same object.
- A fractal is a mathematical object that is self-similar irrespective of scale.

Derivatives

self-similarity

noun

Mathematics

For example, a number of musicians have played with the fractal notion of self-similarity, in which each smaller piece of a structure is a miniature version of the larger structure.
Example sentencesExamples
- The results are visually more subtle than the instantly identifiable, artificial patterns generated using exact self-similarity, where the patterns repeat exactly at different magnifications.
- Nature builds its fractals using statistical self-similarity: the patterns observed at different magnifications, although not identical, are described by the same statistics.
- The principle of self-similarity that underlies fractal geometry, crucial to the scientific understanding of nature, is reflected in much two-dimensional South African art, including beadwork and mural arts among the Basotho.
- However, stems tapering according to stress self-similarity had the larger factors of safety near their base compared to those tapering according to geometric or elastic self-similarity.

Definition of self-similar in US English:

self-similar

adjective

Mathematics

(of an object or set of objects) similar to itself at a different time, or to a copy of itself on a different scale.
〔数〕（物体，一组物体）自型的
the result has the property of being self-similar, a magnified portion looks like the whole
Example sentencesExamples
- We would like to understand the projections of self-similar sets in the plane.
- He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals.
- A fractal is a mathematical object that is self-similar irrespective of scale.
- Since the creature does not change shape, rather simply grows larger, the most efficient way to do this is for its shell to grow in the self-similar form of a logarithmic spiral.
- Indeed, nature features many irregular shapes that are self-similar - that repeat themselves on different scales within the same object.

单词	self-similar
释义	Definition of self-similar in English: self-similar adjective Mathematics (of an object or set of objects) similar to itself at a different time, or to a copy of itself on a different scale. 〔数〕（物体，一组物体）自型的 the result has the property of being self-similar, a magnified portion looks like the whole Example sentencesExamples He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals. We would like to understand the projections of self-similar sets in the plane. Since the creature does not change shape, rather simply grows larger, the most efficient way to do this is for its shell to grow in the self-similar form of a logarithmic spiral. Indeed, nature features many irregular shapes that are self-similar - that repeat themselves on different scales within the same object. A fractal is a mathematical object that is self-similar irrespective of scale. Derivatives self-similarity noun Mathematics For example, a number of musicians have played with the fractal notion of self-similarity, in which each smaller piece of a structure is a miniature version of the larger structure. Example sentencesExamples The results are visually more subtle than the instantly identifiable, artificial patterns generated using exact self-similarity, where the patterns repeat exactly at different magnifications. Nature builds its fractals using statistical self-similarity: the patterns observed at different magnifications, although not identical, are described by the same statistics. The principle of self-similarity that underlies fractal geometry, crucial to the scientific understanding of nature, is reflected in much two-dimensional South African art, including beadwork and mural arts among the Basotho. However, stems tapering according to stress self-similarity had the larger factors of safety near their base compared to those tapering according to geometric or elastic self-similarity. Definition of self-similar in US English: self-similar adjective Mathematics (of an object or set of objects) similar to itself at a different time, or to a copy of itself on a different scale. 〔数〕（物体，一组物体）自型的 the result has the property of being self-similar, a magnified portion looks like the whole Example sentencesExamples We would like to understand the projections of self-similar sets in the plane. He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals. A fractal is a mathematical object that is self-similar irrespective of scale. Since the creature does not change shape, rather simply grows larger, the most efficient way to do this is for its shell to grow in the self-similar form of a logarithmic spiral. Indeed, nature features many irregular shapes that are self-similar - that repeat themselves on different scales within the same object.
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